Tree Allometrics

Equations / Aboveground biomass

Dahurian larch aboveground biomass from D and H (MS-3) (sum of components, Table 6)

Aboveground biomassLarix gmelinii · PinaceaeChinanaturalRead from the original paper
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Equation

As printed (Eq. (14), additive constraints)

Wa = Ws + Wb + Wf + εa; Wt = Wr + Ws + Wb + Wf + εt

In this library's units, ready to compute (kg)

Aboveground biomass = exp(-3.7411 + 1.8314 * ln(D) + 1.0978 * ln(H)) + exp(-2.1509 + 2.9966 * ln(D) - 1.5016 * ln(H)) + exp(-2.5753 + 2.4388 * ln(D) - 1.1785 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Dahurian larch, MS-3: the paper defines this total as the sum of its component equations (Eq. 14 constraints), with coefficients of the component rows in Table 6; the expression is that sum, not a separately printed formula. Stem includes bark; roots exclude fine roots <5 mm.

Source
138 Dahurian larch trees and 108 white birch trees were destructively sampled
Trees measured · Section 2.2
Trees measured
138
DBH range
1.7–28.4 cm
Height range
2.4–21.9 m
Method
seemingly unrelated regression (SUR), additive system, W = exp(b0) D^b1 H^b2
Where
Eastern Daxing'an Mountains, Heilongjiang, northeast China
Last checked
2026-11-02
Calculate
Height from
2.756
Aboveground biomass (kg)
1.295
Carbon (kg), ×0.47
4.749
CO₂e (kg), ×44/12
Fitted DBH range02004006008001,000510152025303540DBH (cm)Aboveground biomass (kg)Aboveground biomass

Shaded: the DBH range the model was fitted on. Other inputs held at the values above.

Checks this equation passes

On every build, the library's form and the paper's own form (in its units) must both give these values within 1%.

InputsExpectedWe getFrom
D = 4, H = 52.762.76Computed from the printed form
computed from the published form (coefficients as printed)
D = 10, H = 1126.826.8Computed from the printed form
computed from the published form (coefficients as printed)
D = 18, H = 17118.6118.6Computed from the printed form
computed from the published form (coefficients as printed)

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